120- 100 80 60 40 20 -0.6 -0,4 -0,.2 0.0 0.2 0.4 0.6 Difference Frequency
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Topic Video
Question
Exercise 4.39 describes a study to investigate whether a recorded phone call is more effective than a flyer in persuading voters to vote for a particular candidate. The response variable is the proportion of voters planning to vote for the candidate, with pc and pf representing the proportions for the two methods (receiving a phone call and receiving a flyer, respectively). The sample statistic of interest is p^c−p^f. We are testing H0 : pc = pf vs Ha : pc > pf. A randomization distribution of differences in proportions, p^c−p^f, for this test is shown in Figure 4.18.
Figure 4.18 Randomization distribution using n = 1000 for testing H0 : pc = pf
a)
Sketch a smooth curve that roughly approximates the distribution in Figure 4.18 and shade in the proportion of the area corresponding to the p-value for the sample statistic p^c−p^f=0.3.
(b)
Four possible sample statistics are given, along with four possible p-values. Match the statistics with the p-values.
p^c−p^f:0.1,0.3,0.5,0.65p-values:0.012,0.001,0.365,0.085
(c)
Interpret the p-value 0.001 in terms of the probability of the results happening by random chance.
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